Explain, in one or two sentences, why the region bounded by the curves (parabola),…

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

Explain, in one or two sentences, why the region bounded by the curves x=y2x = y^2 (parabola), x=y+3x = y + 3 (line), and −1≤y≤3-1 \le y \le 3 must be split into at least two separate yy-intervals when setting up a single integral with respect to yy for its area.

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